3408288256 has 40 divisors (see below), whose sum is σ = 6821589060. Its totient is φ = 1701224448.

The previous prime is 3408288253. The next prime is 3408288287. The reversal of 3408288256 is 6528828043.

It can be written as a sum of positive squares in 2 ways, for example, as 3048806656 + 359481600 = 55216^2 + 18960^2 .

It is not an unprimeable number, because it can be changed into a prime (3408288253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 310510 + ... + 321298.

Almost surely, 2^3408288256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3408288256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410794530).

3408288256 is an abundant number, since it is smaller than the sum of its proper divisors (3413300804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3408288256 is an equidigital number, since it uses as much as digits as its factorization.

3408288256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11424 (or 11408 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The square root of 3408288256 is about 58380.5468970615. The cubic root of 3408288256 is about 1504.9154680026.

The spelling of 3408288256 in words is "three billion, four hundred eight million, two hundred eighty-eight thousand, two hundred fifty-six".